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Lower Eigenvalue Bounds on Summation for the Solution of the Lyapunov Matrix Differential Equation
Author(s) -
Zhang Juan,
Liu Jianzhou,
Huang Hao
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1369
Subject(s) - matrix differential equation , eigenvalues and eigenvectors , mathematics , lyapunov equation , matrix (chemical analysis) , lyapunov function , differential equation , mathematical analysis , physics , nonlinear system , materials science , quantum mechanics , composite material
In this paper, we offer several lower bounds on eigenvalue summation for the solution of the Lyapunov matrix differential equation applying index matrix eigenvalue inequalities and Hölder inequality. Further, we give a numerical example to illustrate the effectiveness of the derived bounds.